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What is the Least Common Multiple of 97411 and 97424?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 97411 and 97424 is 9490169264.

LCM(97411,97424) = 9490169264

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Least Common Multiple of 97411 and 97424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97411 and 97424, than apply into the LCM equation.

GCF(97411,97424) = 1
LCM(97411,97424) = ( 97411 × 97424) / 1
LCM(97411,97424) = 9490169264 / 1
LCM(97411,97424) = 9490169264

Least Common Multiple (LCM) of 97411 and 97424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97411 and 97424. First we will calculate the prime factors of 97411 and 97424.

Prime Factorization of 97411

Prime factors of 97411 are 29, 3359. Prime factorization of 97411 in exponential form is:

97411 = 291 × 33591

Prime Factorization of 97424

Prime factors of 97424 are 2, 6089. Prime factorization of 97424 in exponential form is:

97424 = 24 × 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 97411 and 97424.

LCM(97411,97424) = 291 × 33591 × 24 × 60891
LCM(97411,97424) = 9490169264